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10011223142431 = 76173321171061
BaseRepresentation
bin1001000110101110101101…
…1001100011000000011111
31022110001201100112221221021
42101223223121203000133
52303010441111024211
633143031543545011
72052200304442210
oct221535331430037
938401640487837
1010011223142431
11320a810521045
1211582aa45b167
135780923809c4
1426878d8c7407
151256353ad771
hex91aeb66301f

10011223142431 has 16 divisors (see below), whose sum is σ = 11788262659648. Its totient is φ = 8324753875200.

The previous prime is 10011223142357. The next prime is 10011223142471. The reversal of 10011223142431 is 13424132211001.

10011223142431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011223142431 - 217 = 10011223011359 is a prime.

It is a super-2 number, since 2×100112231424312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011223142396 and 10011223142405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011223142471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160554360 + ... + 160616701.

It is an arithmetic number, because the mean of its divisors is an integer number (736766416228).

Almost surely, 210011223142431 is an apocalyptic number.

10011223142431 is a deficient number, since it is larger than the sum of its proper divisors (1777039517217).

10011223142431 is an equidigital number, since it uses as much as digits as its factorization.

10011223142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321171202.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10011223142431 its reverse (13424132211001), we get a palindrome (23435355353432).

The spelling of 10011223142431 in words is "ten trillion, eleven billion, two hundred twenty-three million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 7 61 73 427 511 4453 31171 321171061 2248197427 19591434721 23445487453 137140043047 164118412171 1430174734633 10011223142431